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∵ OPMN and AQBN are identical rectangles
∴ MN = BN = 4cm = AQ
Now, AD = 28
AD = DQ + AQ
⇒ 28 = DQ + AQ
⇒ 28 = DQ + 4 CM
⇒ DQ = 24 cm
Also, DQ = CN
⇒ CN = 24 cm
But ON = OC
∴ ON = 12 cm
Again, OMMN and AQNB are identical
∴ ON = QN = 12cm
⇒ OM = 8 cm
Now area of Δ QDM = 1/2 ( DQ) (MQ)
∴ ar(Δ) = 1/2 (24)(12)
⇒ ar(Δ) = 96cm²
MARK AS BRAINLIEST, IF YOU GOT IT.
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